Find three rational numbers equivalent to$\frac{-2}{3}$.

To find three rational numbers equivalent to $\frac{-2}{3}$, we can multiply the numerator and denominator of $\frac{-2}{3}$ by the same non-zero integer (except 1).

This method can be applied to any other integer as well.

$\frac{-2}{3}$$=\frac{-2\times 2}{3\times 2}=\frac{-4}{6}$(multiplying the numerator and denominator with 2)

$\frac{-2}{3}=\frac{-2\times 3}{3\times 3}=\frac{-6}{9}$(multiplying the numerator and denominator with 3)

$\frac{-2}{3}=\frac{-2\times 4}{3\times 4}=\frac{-8}{12}$(multiplying the numerator and denominator with 4)

Therefore, the three rational numbers equivalent to$\frac{-2}{3}$are $\frac{-4}{6},\frac{-6}{9},\frac{-8}{12}$.